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Finding the Fourth Proportional to 3,795, 5,676.21 and 2,743.17

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Solution

The fourth proportional to 3,795, 5,676.21 and 2,743.17 is: 4,102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795 : 5,676.21 = 2,743.17 : x
  2. Step 2: Convert to fraction form
    3,795/5,676.21 = 2,743.17/x
  3. Step 3: Cross multiply
    3,795x = 5,676.21 × 2,743.17
  4. Step 4: Simplify right side
    3,795x = 15,570,808.99
  5. Step 5: Solve for x
    x = 15,570,808.99/3,795
  6. Step 6: Final answer
    x = 4,102.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.